) and the normal force from the track. For the "minimum" speed (the point where the car just stays on the track), the normal force is zero. We use: ≈is approximately equal to 2. Set up the equation
v2r=gthe fraction with numerator v squared and denominator r end-fraction equals g 3. Solve for velocity Rearrange the formula to solve for v=g⋅rv equals the square root of g center dot r end-root a-roller-coaster-has-a-vertical-loop-with-radius-of-15m
The centripetal acceleration must equal the acceleration due to gravity to keep the car from falling: ) and the normal force from the track
, the car must maintain a speed where the centripetal force at the top of the loop is at least equal to the force of gravity. The minimum speed is approximately (or about 1. Identify physical constants Set up the equation v2r=gthe fraction with numerator
To find the minimum speed required for a roller coaster to successfully complete a vertical loop with a radius of
The minimum speed required for the roller coaster to stay on the track at the top of a radius loop is .